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Tracking Invariant Manifolds

  • Christian Kuehn
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 191)

Abstract

The main goal of this chapter is to discuss the tracking of invariant manifolds when they transition from a fast to a slow motion and vice versa. That is, we would like to understand how trajectories or more general objects enter and leave the vicinity of a normally hyperbolic critical manifold. The main application is to show how the geometric theory of fast–slow systems can be used to prove the persistence of candidate orbits for \(0 <\varepsilon \ll 1\).

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Christian Kuehn
    • 1
  1. 1.Institute for Analysis and Scientific ComputingVienna University of TechnologyViennaAustria

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